Add 4/49 and 70/72
4/49 + 70/72 is 1859/1764.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 72 is 3528
Next, find the equivalent fraction of both fractional numbers with denominator 3528 - For the 1st fraction, since 49 × 72 = 3528,
4/49 = 4 × 72/49 × 72 = 288/3528 - Likewise, for the 2nd fraction, since 72 × 49 = 3528,
70/72 = 70 × 49/72 × 49 = 3430/3528 - Add the two like fractions:
288/3528 + 3430/3528 = 288 + 3430/3528 = 3718/3528 - 3718/3528 simplified gives 1859/1764
- So, 4/49 + 70/72 = 1859/1764
In mixed form: 195/1764
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